Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840a |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
400896 |
Modular degree for the optimal curve |
Δ |
-97247246976000 = -1 · 210 · 39 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28323,1895022] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:1782:1] [-17:1540:1] |
Generators of the group modulo torsion |
j |
-124666630092/4824875 |
j-invariant |
L |
11.816873929459 |
L(r)(E,1)/r! |
Ω |
0.5953568819619 |
Real period |
R |
1.6540322685471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114840r1 |
Quadratic twists by: -3 |